3335640 has 192 divisors, whose sum is σ = 13167360. Its totient is φ = 656640.

The previous prime is 3335627. The next prime is 3335669. The reversal of 3335640 is 465333.

3335640 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3335640² = 22252988419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

3335640 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 3335640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175551 + ... + 175569.

It is an arithmetic number, because the mean of its divisors is an integer number (68580).

Almost surely, 2^3335640 is an apocalyptic number.

3335640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3335640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

3335640 is an abundant number, since it is smaller than the sum of its proper divisors (9831720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3335640 is a wasteful number, since it uses less digits than its factorization.

3335640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 3335640 is about 1826.3734557861. The cubic root of 3335640 is about 149.4146072967.

The spelling of 3335640 in words is "three million, three hundred thirty-five thousand, six hundred forty".